Communication systems -- Find the Modulation Depth....

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bonildo
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Homework Statement


Hello, the plot in the image shows a modulated signal s(t), with one period of the modulating signal m(t). The mean value of m(t) is equal to zero . Its asked me to find the modulated index, the amplitude of the carrier, the equation of the message(m(t)) and the kind of modulation (DSB-SC or AM).

Homework Equations


s(t)=A*m(t)*cos*2*pi*fc*t) (dsb-sc modulation)
s(t)= (1+ka*m(t))*cos*2*pi*fc*t) (am modulation)

The Attempt at a Solution


I don't know, I'm really stuck in this exercise.
 

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Dr. Courtney said:
Have you tried plotting those questions with various values of the constants to help learn their meanings?
Yes, I do. But I can't still figure out a solution for it.

I tried to solve s(0)= (1+ka*m(0)), but I don't know who is m(t)
 
the plot in the image shows a modulated signal s(t), with one period of the modulating signal m(t).
The image seems to not show m(t). You are making this difficult for yourself if you ignore the assistance a sketch of the modulating signal will likely give you.

If you are not shown m(t), perhaps you can figure it out, or even "guess" it?
 
bonildo said:

Homework Statement


Hello, the plot in the image shows a modulated signal s(t), with one period of the modulating signal m(t). The mean value of m(t) is equal to zero . Its asked me to find the modulated index, the amplitude of the carrier, the equation of the message(m(t)) and the kind of modulation (DSB-SC or AM).

Homework Equations


s(t)=A*m(t)*cos*2*pi*fc*t) (dsb-sc modulation)
s(t)= (1+ka*m(t))*cos*2*pi*fc*t) (am modulation)

The Attempt at a Solution


I don't know, I'm really stuck in this exercise.
I suggest:
take the two s(t) signals in "relevant equations". Take one at a time.
Can you imagine s(t)=A*m(t)*cos*2*pi*fc*t) (dsb-sc modulation) giving you the shown signal?
Can you imagine s(t)= (1+ka*m(t))*cos*2*pi*fc*t) (am modulation) giving you the shown signal?
Only one of those two can give you the shown signal.
And a little thinking should get you the answers you seek.
Hint: only one of your s(t) can produce a signal with differing maxima (5 and 15).
P.S. obviously, m(t) is a sinusoid.